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Simplifying 37 = 6k + -5 Reorder the terms: 37 = -5 + 6k Solving 37 = -5 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 37 + -6k = -5 + 6k + -6k Combine like terms: 6k + -6k = 0 37 + -6k = -5 + 0 37 + -6k = -5 Add '-37' to each side of the equation. 37 + -37 + -6k = -5 + -37 Combine like terms: 37 + -37 = 0 0 + -6k = -5 + -37 -6k = -5 + -37 Combine like terms: -5 + -37 = -42 -6k = -42 Divide each side by '-6'. k = 7 Simplifying k = 7
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